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相关概念视频

Three-Dimensional Force System01:30

Three-Dimensional Force System

2.0K
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
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Two-Dimensional Force System01:20

Two-Dimensional Force System

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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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Virtual Work for a System of Connected Rigid Bodies01:06

Virtual Work for a System of Connected Rigid Bodies

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Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
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One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

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In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
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Kinematic Equations - III01:18

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
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一个模块化框架隐含的3D-0D合在心脏力学.

Aaron L Brown1,2, Matteo Salvador3,2,4, Lei Shi5,6

  • 1Department of Mechanical Engineering, Stanford University, Stanford, CA, USA.

Computer methods in applied mechanics and engineering
|March 25, 2024
PubMed
概括
此摘要是机器生成的。

我们开发了一个新的数值框架,将3D心脏力学模拟与0D循环模型相结合. 这种方法准确地模拟心脏行为,包括生理学压力-体积循环,用于心血管研究.

关键词:
3D-0D 合器的连接方式估计牛顿的方法心血管模型的建模.心脏机械学心脏机械学多域建模的多域建模

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科学领域:

  • 计算力学是计算力学.
  • 生物医学工程 生物医学工程
  • 心血管模型的建模.

背景情况:

  • 精确的心脏力学数值模拟需要将心脏与循环系统模型结合起来.
  • 块式参数网络 (0D流体模型) 通常用于血液流动,但将它们与3D心脏模型相结合会带来挑战.
  • 由于强烈的物理相互作用,开发高效准确的数值合方法至关重要.

研究的目的:

  • 提出一个模块化框架,以隐式合3D有限元心脏力学模拟与0D血液循环模型.
  • 在一个统一的方案中,将以前的3D流体-0D流体合扩展到3D结构-0D流体合.
  • 评估拟议数值方案的有效性,时间趋同和计算成本.

主要方法:

  • 开发了一个模块化框架,用于隐式合3D有限元心脏力学和0D合参数循环模型.
  • 将以前建立的3D流体-0D流体合方案扩展到3D结构-0D流体方法.
  • 利用一个统一的合方案,灵感来自近似牛顿方法,以获得稳定性和灵活性.

主要成果:

  • 结合的3D结构-0D流体模型成功模拟了生理心脏行为.
  • 一个理想化的左心室示例展示了精确的压力-体积循环和心脏周期阶段的自然重复.
  • 该框架显示了有效性,良好的时间趋同,以及合理的计算成本.

结论:

  • 拟议的模块化框架使3D心脏力学和0D循环模型的准确和高效合成为可能.
  • 统一的数值方案将单体方法的稳定性与分区方法的灵活性相结合.
  • 这项工作通过提供一个强大的工具来模拟心脏循环相互作用来推进心血管建模.